Root mean square velocity of CO2 molecules

AI Thread Summary
To find the translational root mean square (rms) speed of carbon dioxide (CO2) molecules given the speed of water vapor (H2O) molecules, one can use the equation V^2 = (3kT)/m, where k is the Boltzmann constant, T is temperature, and m is the molecular mass. Since both gases are at the same temperature, the ratio V^2/m must be equal for both gases. This implies that knowing the speed of H2O allows for the calculation of CO2's rms speed by considering their respective molecular masses. The discussion emphasizes the relationship between molecular speed and mass at constant temperature. Understanding this relationship is crucial for solving the problem.
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Homework Statement



If the translationa speed of the water vapor molecules (H2O) in ir is 648 m/s, what is the translational rms speed of the carbon dioxide molecules in the same air? Both gases are at the same tmperature.

Homework Equations



V^2 = (3kT)/m

The Attempt at a Solution



I'm not even sure where to begin. I don't understand how knowing the water's speed helps me find the CO2's.
 
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They must be the same.
 

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